Numerical simulation for heat transfer in prostate cancer cryosurgery

Journal of Biomechanical Engineering

Volumn 127, Issue 2, 2005, Pages 279-294

  Zhang, Jiayao ^a   Sandison, George A ^b   Murthy, Jayathi Y ^a   Xu, Lisa X ^c,d  

^a PURDUE UNIVERSITY   (United States)

^b PURDUE UNIVERSITY   (United States)

^c PURDUE UNIVERSITY   (United States)

^d SHANGHAI JIAO TONG UNIVERSITY   (China)

Author keywords

Cryosurgery; Freezing; Heat Transfer; Numerical Simulation; Prostate Cancer; Surgical Planning

Indexed keywords

BLOOD; BOUNDARY CONDITIONS; COMPUTATIONAL METHODS; COMPUTER SIMULATION; CRYOSURGERY; FREEZING; HEATING; METABOLISM; ONCOLOGY; PHASE TRANSITIONS; THERMAL EFFECTS; THERMODYNAMIC PROPERTIES; TISSUE; TUMORS;

BLOOD FLOW; CRYOPROBES; CRYOSURGICAL PROCEDURES; PROSTATE CANCER;

HEAT TRANSFER;

ARTICLE; BLOOD FLOW; CALCULATION; COMPUTER MODEL; CRYOSURGERY; FREEZING; GEOMETRY; HEAT TRANSFER; MATHEMATICAL MODEL; METABOLISM; NUCLEAR MAGNETIC RESONANCE IMAGING; PREOPERATIVE EVALUATION; PROSTATE CANCER; SIMULATION; SURFACE PROPERTY; TEMPERATURE DEPENDENCE; THERMODYNAMICS; TREATMENT PLANNING;

BODY TEMPERATURE; COMPUTER SIMULATION; CRYOSURGERY; ENERGY TRANSFER; HEAT; HUMANS; MALE; MODELS, BIOLOGICAL; PROSTATE; PROSTATIC NEOPLASMS; SURGERY, COMPUTER-ASSISTED; THERMOGRAPHY;

EID: 18644366548     PISSN: 01480731     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.1865193     Document Type: Article

References (62)

1. American Cancer Society, 2004, "Overview; Prostate Cancer," available at tittp://www.cancer.org/docroot/CRI/CRI_2_lx.asp? dt=36
2. Zincke, H., Bergstralh, E. J., Blute, M. L., Myers, R. P., Barrett, D. M., Lieber, M. M., Martin, S. K., and Oesterling, J. E., 1994, "Radical Prostatectomy for Clinically Localized Prostate Cancer: Long-Term Results of 1,143 Patients From a Single Institution," J. Clin. Oncol., 12(11), pp. 2254-2263.
3. Hamilton, A. S., Stanford, J. L., Gilliland, F. D., Albertsen, P. C., Stephenson, R. A., Hoffman, R. M., Eley, J. W., Harlan, L. C., and Potosky, A. L., 2001, "Health Outcomes After External-beam Radiation Therapy for Clinically Localized Prostate Cancer: Results from the Prostate Cancer Outcomes Study," J. Clin. Oncol., 19(9), pp. 2517-2526.
4. Smith, M. R., McGovern, F. J., Zietman, A. L., Fallon, M. A., Hayden, D. L., Schoenfeld, D. A., Kantoff, P. W., and Finkelstein, J. S., 2001, "Pamidronate to Prevent Bone Loss During Androgen-deprivation Therapy for Prostate Cancer," N. Engl. J. Med., 345(13), pp. 948-955.
5. Eisenberger, M. A., 1988, "Chemotherapy for Prostate Carcinoma," J. Natl. Cancer Inst., 7, pp. 151-163.
6. Onik, G. M., 1995, "Prostate Cryoablation: A Reappraisal," Percutaneous Prostate Cryoablation, G. M. Onik, B. Rubinsky, G. Watson, R. J. Ablin, eds., Quality Medical Publishing, St. Louis, MO, Chap. 1.
7. Onik, G., 1989, "Transperineal Prostatic Cryosurgery Under Transrectal Ultrasound Guidance," Semin. Interventional Radiol., 6, pp. 90-96.
8. Bahn, D. K. Lee, F., Solomon, M. H., Gontina, H., Klionsky, D. L., and Lee, F. T., 1995, "Prostate Cancer: US-Guided Percutaneous Cryoablation," Radiology, 194(2), pp. 551-554.
9. Bahn, D. K., Lee, F., Badalament, R., Kumar, A., Greski, J., and Chernick, M., 2002, "Target Cryoablation of the Prostate: 7-Year Outcomes in the Primary Treatment of Prostate Cancer," Urology, 60(2a), pp. 3-11.
10. Ghafa, M. A., Johnson, C. W., Taille, A. D. L., Benson, M. C., Bagiella, E., Fatal, M., Olsson, C. A., and Katz, A. E., 2001, "Salvage Cryotherapy Using an Argon Based System for Locally Recurrent Prostate Cancer after Radiation Therapy: The Columbia Experience," J. Urol. (Baltimore), 166, pp. 1333-1338.
11. Bischof, J. C., Smith, D., Pazhayannur, P. V., Manivel, C., Hulbert, J., and Roberts, K. P., 1997, "Cryosurgery of Dunning AT-1 Rat Prostate Tumor: Thermal Biophysical, and Viability Response at the Cellular and Tissue Level," Cryobiology, 34, pp. 42-69.
12. Smith, D. J., Fahssi, W. M., Swanlund, D. J., and Bischof, J. C., 1999, "A Parametric Study of Freezing Injury in AT-1 Rat Prostate Tumor Cells," Cryobiology, 39, pp. 13-28.
13. Tatsutani, K., Rubinsky, B., Onik, G., and Dahiya, R., 1996, "Effect of Thermal Variables on Frozen Human Primary Prostatic Adenocarcinoma Cells," Urology, 48(3), pp. 441-447.
14. Larson, T. R., Robertson, D. W., Corica, A., and Bostwick, D. G., 2000, "In vivo Interstitial Temperature Mapping of the Human Prostate During Cryosurgery With Correlation With Histopathologic Outcomes," Urology, 55(4), pp. 547-552.
15. Saliken, J. C., Donnelly, R. J., and Rewcastle, J. C., 2002, "The Evolution and State of Modern Technology for Prostate Cryosurgery," Urology, 60(2a), pp. 50-55.
16. Comini, G., and Del Giudice, S., 1976, "Thermal Aspects of Cryosurgery," ASME J. Heat Transfer, 98, pp. 543-549.
17. Rewcastle, J. C., and Sandison, G. A., 2001, "A Model for the Time Dependent Three-dimensional Thermal Distribution Within Iceballs Surrounding Multiple Cryoprobes," Med. Phys., 28(6), pp. 1125-1137.
18. Cooper, T. E., and Trezek, G. J., 1970, "Analytical Prediction of the Temperature Field Emanating from a Cryogenic Surgical Cannula," Cryobiology, 7, pp. 79-93.
19. Cooper, T. E., and Trezek, G. J., 1971, "Rate of Lesion Growth Around Spherical and Cylindrical Cryoprobes," Cryobiology, 7, pp. 183-190.
20. Cooper, T. E., and Trezek, G. J., 1972, "On the Freezing of Tissue," ASME J. Heat Transfer, 94, pp. 251-253.
21. Rubinsky, B., and Shitzer, A., 1976, "Analysis of a Stefan-Like Problem in a Biological Tissue Around a Cryosurgical Probe," ASME J. Heat Transfer, 98, pp. 514-519.
22. Budman, H., Shitzer, A., and Dayan, J., 1995, "Analysis of the Inverse Problem of Freezing and Thawing of a Binary Solution During Cryosurgical Processes," ASME J. Biomech. Eng., 117, pp. 193-202.
23. Rabin, Y., and Shitzer, A., 1995, "Exact Solution to the One-Dimensional Inverse-Stefan Problem in Nonideal Biological Tissues," ASME J. Heat Transfer, 117, pp. 425-431.
24. Weill, A., Shitzer, A., and Bar-Yoseph, P., 1993, "Finite Element Analysis of the Temperature Field Around Two Adjacent Cryo-probes," ASME J. Biomech. Eng., 115, pp. 374-379.
25. Alexiades, V., and Solomon, A. D., 1993, Mathematical Modeling of Melting and Freezing Processes, Hemisphere, Washington DC, Chap. 4.
26. Voller, V. R., and Swaminathan, C. R., 1991, "Generalized Source-Based Method for Solidification Phase Change," Numer. Heat Transfer, Part B, 19(2), pp. 175-189.
27. Hayes, L. J., Diller, K. R., Chang, H. J., and Lee, H. S., 1988, "Prediction of Local Cooling Rates and Cell Survival During the Freezing of a Cylindrical Specimen," Cryobiology, 25, pp. 67-82.
28. Rabin, Y, and Shitzer, A., 1998, "Numerical Solution of the Multidimensional Freezing Problem During Cryosurgery," ASME J. Biomech. Eng., 120, pp. 32-37.
29. Zhang, A., Xu, L. X., Sandison, G. A., and Zhang, J., 2003, "A Microscale Model for Prediction of Breast Cancer Cell Damage During Cryosurgery," Cryobiology, 47, pp. 143-154.
30. Devireddy, R. V., Smith, D. J., and Bischof, J. C., 2002, "Effect of Microscale Mass Transport and Phase Change on Numerical Prediction of Freezing in Biological Tissues," ASME J. Heat Transfer, 124, pp. 365-374.
31. Budman, H., Shitzer, A., and Giudice, S. D., 1986, "Investigation of Temperature Fields around Embedded Cryoprobes," ASME J. Biomech. Eng., 108, pp. 42-48.
32. Rewcastle, J. C., Sandison, G. A., Hahn, L. J., Saliken, J. C., McKinnon, J. G., and Donnelly, B. J., 1998, "A Model for the Time-dependent Thermal Distribution Within an Iceball Surrounding a Cryoprobe," Phys. Med. Biol., 43, pp. 3519-3534.
33. Jankun, M., Kelly, T. J., Zaim, A., Young, K., Keck, R. W., Selman, S., and Jankun, J., 1999, "Computer Model for Cryosurgery of the Prostate," Rev. Rhum Engl Ed., 4, pp. 193-199.
34. Pennes, H. H., 1948, "Analysis of Tissue and Arterial Blood Temperature in Resting Human Forearm," J. Appl. Physiol., 1, pp. 93-122.
35. Xu, L. X., 1999, "New Developments in Bioheat and Mass Transfer Modeling," Annual Review of Heat Transfer, Begell House, New York, C. L., Tien, ed., 10, pp. 1-23.
36. Liu, J., Zhu, L., and Xu, L. X., 2000, "Studies on the Three-Dimensional Temperature Transients in the Canine Prostate During Transurethral Microwave Thermal Therapy," ASME J. Biomech. Eng., 122, pp. 372-379.
37. Rabin, Y., Coleman, R., Mordohovich, D., Ber, R., and Shitzer, A., 1996, "A New Cryosurgical Device for Controlled Freezing, Part II: In Vivo Experiments on Rabbits' Hindlimbs," Cryobiology, 33, pp. 93-105.
38. Fluent Inc., 2002, FLUENT 6.0 User's Guide, Ruent Inc.
39. Zhang, A., 2002, "DSC Measurement of Biological Tissues," unpublished experimental data, Purdue University.
40. Walder, H. A. D., 1971, "Experimental Cryosurgery," Cryogenics in Surgery, H., Leden, (ed.), Medical Examination Publishing, New York.
41. Rothenberg, H. W., 1970, "Cutaneous Circulation in Rabbits and Humans Before, During, and After Cryosurgical Procedures Measured by Xenon-133 Clearance," Cryobiology, 6(6), pp. 507-511.
42. Bonacina, C., Comini, G., Fasano, A., and Primicerio, M., 1974, "On the Estimation of Thermophysical Properties in Nonlinear Heat Conduction Problems," Int. J. Heat Mass Transfer, 17, pp. 861-867.
43. Rabin, Y., 2000, "The Effect of Temperature-Dependent Thermal Conductivity in Heat Transfer Simulations of Frozen Biomaterials," Cryo-Lett, 21, pp. 163-170.
44. Chato, J. C., 1985, "Selected Thermophysical Properties of Biological Materials," Heat Transfer in Medicine and Biology: Analysis and Applications, A., Shitzer, and R. C., Eberhart, eds., Plenum Press, New York, Chap. 9.
45. Philips Inc., Manual to Philips MxView System, Philips Inc.
46. Fluent Inc., 2001, User's Guide to GAMBIT 2.0, Fluent Inc.
47. Wong, W. S., 2001, Temperature Monitored TCAP™: Time Procedure Outline, Endocare Inc. documentation.
48. Mathur, S., and Murthy, J. Y, 1997, "A Pressure-Based Method for Unstructured Meshes," Numer. Heat Transfer, Part B, 31(2), pp. 195-216.
49. Murthy, J. Y., and Mathur, S. R., 1998, "A Conservative Numerical Scheme for the Energy Equation," ASME J. Heat Transfer, 120, pp. 1081-1085.
50. Mathur, S. R., and Murthy, J. Y, 2001, "Unstructured Finite Volume Methods for Multi-Mode Heat Transfer," Advances in Numerical Heat Transfer, W. J. Minkowycz, and E. M. Sparrow, (eds.), Taylor and Francis 2, pp. 37-67.
51. Mazur, P., 1984, "Freezing of Living Cells: Mechanisms and Implications," Am. J. Phys., 143, C125-142.
52. Gage, A. A., and Baust, J., 1998, "Mechanisms of Tissue Injury in Cryosurgery," Cryobiology, 37, pp. 171-186.
53. Duck, F. A., 1990, Physical Properties of Tissue: a Comprehensive Reference Book, Academic Press, London.
54. Baissalov, R., Sandison, G. A., Donnelly, B. J., Saliken, J. C., McKinnon, J. G., Muldrew, K., and Rewcastle, J. C., 2000, "A Semi-Empirical Treatment Planning for Optimization of Multiprobe Cryosurgery," Phys. Med. Biol., 45, pp. 1085-1098.
55. Baissalov, R., Sandison, G. A., Reynolds, D., and Muldrew, K., 2001, "Simultaneous Optimization of Cryoprobe Placement and Thermal Protocol for Cryosurgery," Phys. Med. Biol., 46, pp. 1799-1814.
56. Keanini, R. G., and Rubinsky, B., 1992, "Optimization of Multiprobe Cryosurgery," ASME J. Heat Transfer, 114, pp. 796-801.
57. Sandison, G. A., 2002, "Future Directions for Cryosurgery Computer Treatment Planning," Urology, 60(2a), pp. 50-55.
58. Incropera, F. P., and DeWitt, D. P., 1990, Fundamentals of Heat and Mass Transfer, Wiley, New York, pp. 491-502.
59. Zhu, C., Byrd, R. H., Lu, P., and Nocedal, J., 1994, "LBFGS-B: FORTRAN Subroutines for Large-Scale Bound Constrained Optimization," Report NAM-11, EECS Department, Northwestern University.
60. Zhang, J., 2003, "Numerical Simulation of Prostate Cancer Cryosurgery," M.S. thesis, Purdue University, West Lafayette, IN.
61. Xu, L. X., Zhu, L., and Holmes, K. R., 1998, "Thermoregulation in the Canine Prostate During Transurethral Microwave Hyperthermia. Part II: Blood Flow Response," Int. J. Hyperthermia, 14(1), pp. 65-73.
62. Mitchell, J. W., Galvez, T. L., Hangle, J., Myers, G. E., and Siebecker, K. L., 1970, "Thermal Response of Human Legs During Cooling," J. Appl. Physiol., 29, pp. 859-865.